The calculation of r can often be simplified by adding the same constant to each x, adding the same constant to each y, or multiplying each x and/or y by the same positive constants. Recalculate r for the data of Example 14.7 by first multiplying each x and each y by 10 and then subtracting 70 from each x and 60 from each y.
Answer to relevant QuestionsThe table at the bottom of the page shows how the history and economics scores of 25 students are distributed. Use the method of Exercise 14.32 to determine the value of r, replacing the row headings by the corresponding ...(a) Use an appropriate computer program to obtain the sample correlation coefficient for the data of Exercise 14.64. (b) Test whether this coefficient is significant using the 0.10 level. Use an appropriate computer program to redo Exercise 14.82 without coding the x-values. Prove the result given on page 444 for the analysis of the Latin-square experiment. Use the method of Exercise 15.21 to analyze the 3 × 3 table of Exercise 13.78 on page 380, and compare the result with the result obtained in that exercise.
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